Our main goal in this paper is to investigate the regularity of mild solution fractional diffusion equation which can be used modelling heat transfer with memory effects. Under some various assumptions input data, we obtain two results. We also provide upper bound and lower source function. The tool use complex evaluations involving Wright

Dr Dennis Walter Wright M.B. ChB (Bristol) 1952 A.F.O.M. RCP (Lond) 1978 Dr Dennis Wright, who died on 6th August 1988 in Ham Green hospital at the age of 61, played a large part in the work of the hospital and in the Avon branch of the British Red Cross Society. He qualified in 1952 in Bristol. As a resident he worked at Southmead Hospital in general medicine, in obstetrics under Professor Len...